Question

You are hired to investigate how much support there is for the new trade agreement among Canada, the United States and Mexico. You ask 16 business owners and 16 workers from each country how much they support the agreement on a scale of 1-50 (higher numbers mean more support). Below are the means for each group, and the ANOVA table. Please provide a full report for all the results from this 2-way ANOVA.   

	CAN	US	MEX
Owners	25	28	31
Workers	24	22	11
	SS	df	MS	F
Employment	1944	1	1944	25.92
Citizenship	304	2	152	2.03
Interaction	1552	2	776	10.35
Within	6750	90	75
Total	10550	95

Answer 1

		df	MS	F
	SS	p-value
Employment	1944	1	1944	25.92	0.0000
Citizenship	304	2	152	2.03	0.1373
Interaction	1552	2	776	10.35	0.0001
Within	6750	90	75
Total	10550	95

The hypothesis being tested is:

H₀: There is no main effect of Employment

H_a: There is a main effect of Employment

The p-value is 0.0000.

Since the p-value (0.0000) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that there is a main effect of Employment.

The hypothesis being tested is:

H₀: There is no main effect of Citizenship

H_a: There is a main effect of Citizenship

The p-value is 0.1373.

Since the p-value (0.1373) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, we cannot conclude that there is a main effect of Citizenship.

The hypothesis being tested is:

H₀: There is no interaction effect

H_a: There is an interaction effect

The p-value is 0.0001.

Since the p-value (0.0001) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that there is an interaction effect.